help

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There is no methodical reasoning behind five-digit perfect square palindromes. It's a matter of squaring all the numbers from 100 to 316.

(317² = 100489)

101² = 10201

111² = 12321

121² = 14621

202² = 40804

212² = 44944

264²  = 69696

307² = 94249

For four-digit perfect square plaindromes... there are none!

So, your answer would be the 7 five-digit perfect square palindromes that we stated above.

I only found these few. I may have missed one or two:

10,201,  12,321,   14,641,   44,944,   69,696,   94,249

What about the 4-digit ones?